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Question: please answer 4 entirely and show work so i can...

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1. Find the general solution to the first-order transport equation u 3uy 1 using the method of characteristics 2. Find the general solution to the equation 2uz y0 using the coordinate method. 3. Find the solution to the initial-value problem ut +XUz = 1 , u (z ,0) = sin 27, 4. Using the formula for the general solution to the wave equation, solve the initial-value problem 5. Derive the general solution to

Please answer #4 entirely and show work so I can learn. Thanks.

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